A Course in Mathematical Biology

Quantitative Modeling with Mathematical & Computational Methods

Gerda De Vries, Thomas Hillen, Mark Lewis, Johannes Müller, Birgitt Schönfisch

320 pages, parution le 01/07/2006

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Résumé

The field of mathematical biology is growing rapidly. Questions about infectious diseases, heart attacks, cell signaling, cell movement, ecology, environmental changes, and genomics are now being analyzed using mathematical and computational methods. A Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods is the only book that teaches all aspects of modern mathematical modeling and that is specifically designed to introduce undergraduate students to problem solving in the context of biology.

With a focus on integrating analytical and computational tools in the modeling of biological processes, the authors provide an integrated package of theoretical modeling and analysis tools, computational modeling techniques, and parameter estimation and model validation methods. Divided into three parts, the book covers basic analytical modeling techniques; introduces computational tools used in the modeling of biological problems; and provides a source of open-ended problems from epidemiology, ecology, and physiology. All chapters include realistic biological examples, and there are many exercises related to biological questions. In addition, the book includes 25 open-ended research projects that can be used by students. The book is accompanied by a Web site that contains solutions to most of the exercises and a tutorial for the implementation of the computational modeling techniques. Calculations can be done in modern computing languages such as Maple, Mathematica, and MATLAB.

Audience

Intended for upper level undergraduate students in mathematics or similar quantitative sciences, Course in Mathematical Biology: Quantitative Modeling with Mathematical and Computational Methods is also appropriate for beginning graduate students in biology, medicine, ecology, and other sciences. It will also be of interest to researchers interested in entering the field of mathematical biology.

Sommaire

Theoretical Modeling Tools
- Introduction
- Discrete-Time Models
- Ordinary Differential Equations
- Partial Differential Equations
- Stochastic Models
- Cellular Automata and Related Models
- Estimating Parameters
Self-Guided Computer Tutorial
- Maple Course
Projects
- Project Descriptions
- Solved Projects

Appendix: Further Reading

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Caractéristiques techniques

	PAPIER
Éditeur(s)	SIAM: Society for Industrial and Applied Mathematics
Auteur(s)	Gerda De Vries, Thomas Hillen, Mark Lewis, Johannes Müller, Birgitt Schönfisch
Parution	01/07/2006
Nb. de pages	320
Format	18 x 25,5
Couverture	Broché
Poids	565g
Intérieur	Noir et Blanc
EAN13	9780898716122
ISBN13	978-0-89871-612-2